3940345440 has 120 divisors (see below), whose sum is σ = 13906181520. Its totient is φ = 1050755328.

The previous prime is 3940345411. The next prime is 3940345501. The reversal of 3940345440 is 445430493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3940345395 and 3940345404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139060 + ... + 164979.

It is an arithmetic number, because the mean of its divisors is an integer number (115884846).

Almost surely, 2^3940345440 is an apocalyptic number.

3940345440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3940345440 is an abundant number, since it is smaller than the sum of its proper divisors (9965836080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3940345440 is a wasteful number, since it uses less digits than its factorization.

3940345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304066 (or 304049 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3940345440 is about 62772.1709039922. The cubic root of 3940345440 is about 1579.4701850147.

The spelling of 3940345440 in words is "three billion, nine hundred forty million, three hundred forty-five thousand, four hundred forty".